Kurt Hugo Schneider's Nightmare!
Added 2020-05-17 16:57:13 +0000 UTCWe're sure many of you attempted Kurt's 6x6 Irregular sudoku (to win the wallet) a couple of weeks ago. Kurt has been busy creating an even harder test! Do have a go but, be warned, this is an exceptionally hard (but ABSOLUTELY BEAUTIFUL) puzzle.
Rules:
Fill each row/column/region with the digits 1 to 6. Regions are only partially defined and need to be completed (the given boundaries MUST be respected). Both marked diagonals also contain the digits 1 to 6. The two small arrows point to the smaller of the two cells they border.
We will certainly give a shout-out to any "good" solutions we receive ie those which explain the way to solve the puzzle logically (we may also give a prize, watch this space).
Enjoy and don't have bad dreams :)
Simon & Mark
Comments
Good point - thanks for clarifying.
2020-06-10 16:50:10 +0000 UTCThis answer was articulated well above with "If a wall exists, it MUST separate two regions." So, yes, a line does guarantee it's part of and 'edge'.
2020-06-10 14:26:47 +0000 UTCWhen you're defining the boundaries, could any of the shapes include boundary lines that aren't relevant to the overall shape? Like if you had a 2x3 square as one section, call it cells A1 to B3, could there be a horizontal line between cell A1 and A2 that didn't actually form part of the boundary (e.g. didn't stretch across to cells B1/B2) and was just an extra line? Or do the lines given guarantee they're part of an outer edge?
2020-06-09 03:12:39 +0000 UTCI found a solution, though I haven't thoroughly checked the other branches to the end, so i don't have a logical "proof" that it's the only one, but in theory i could continue and get to a contradiction in other branches... I've recorded myself solving, but the video needs to be cut down before posting.
Duke BG
2020-05-24 16:38:07 +0000 UTC
